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310097668961 is a prime number
BaseRepresentation
bin1001000001100110100…
…00101110101101100001
31002122102020110202111102
410200303100232231201
520040040000401321
6354242405124145
731255336460423
oct4406320565541
91078366422442
10310097668961
1110a56a060463
12501230b9655
132331bb24862
141101a24a813
1580ede10c0b
hex483342eb61

310097668961 has 2 divisors, whose sum is σ = 310097668962. Its totient is φ = 310097668960.

The previous prime is 310097668949. The next prime is 310097669009. The reversal of 310097668961 is 169866790013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309981697600 + 115971361 = 556760^2 + 10769^2 .

It is a cyclic number.

It is not a de Polignac number, because 310097668961 - 234 = 292917799777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310097668897 and 310097668906.

It is not a weakly prime, because it can be changed into another prime (310097668931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155048834480 + 155048834481.

It is an arithmetic number, because the mean of its divisors is an integer number (155048834481).

Almost surely, 2310097668961 is an apocalyptic number.

It is an amenable number.

310097668961 is a deficient number, since it is larger than the sum of its proper divisors (1).

310097668961 is an equidigital number, since it uses as much as digits as its factorization.

310097668961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 310097668961 in words is "three hundred ten billion, ninety-seven million, six hundred sixty-eight thousand, nine hundred sixty-one".